Information on Result #1551091
Linear OOA(5149, 1953192, F5, 3, 19) (dual of [(1953192, 3), 5859427, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5149, 1953192, F5, 19) (dual of [1953192, 1953043, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(11) [i] based on
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(513, 67, F5, 6) (dual of [67, 54, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 124, F5, 6) (dual of [124, 111, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(513, 124, F5, 6) (dual of [124, 111, 7]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5149, 651063, F5, 21, 19) (dual of [(651063, 21), 13672174, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |